Question

There are $4$ students for $Physics$, $6$ students for $Chemistry$ and $7$ students for $Mathematics$ gold medals. In how many ways one of these goldmedals be awarded?

• A. $17$
• B. $11$
• C. $4$
• D. None of these

Answer 1

Answer: (A)

$17$

One of these gold medals will be awarded when one of PHYSICS or CHEMISTRY,or MATHS students gets selected for this medal.
No. of ways this can happen$=\left(\begin{array}{c}4\\ 1\end{array}\right)+\left(\begin{array}{c}6\\ 1\end{array}\right)+\left(\begin{array}{c}7\\ 1\end{array}\right)=17$
Hence, option 'A' is correct.